{"id":296,"date":"2024-07-18T09:17:41","date_gmt":"2024-07-18T07:17:41","guid":{"rendered":"https:\/\/wi.pb.edu.pl\/p\/?page_id=296"},"modified":"2024-07-18T09:17:41","modified_gmt":"2024-07-18T07:17:41","slug":"publikacje-i-preprinty","status":"publish","type":"page","link":"https:\/\/wi.pb.edu.pl\/p\/piotr-grzeszczuk\/publikacje-i-preprinty\/","title":{"rendered":"Publikacje i preprinty"},"content":{"rendered":"

Published papers:<\/p>\n

    \n
  1. Classical radicals of invariants of algebraic skew derivations<\/i>,  Algebra Colloquium,  29<\/b>(1) <\/b>(2022), 53-66. <\/i>https:\/\/doi.org\/10.1142\/S1005386722000050<\/i> (with Jeffrey Bergen)<\/i><\/a><\/li>\n
  2. On the generic family of Cayley graphs of a finite group, J. Combinatorial Theory Ser A,  184, (2021) , 40 pp. ,  https:\/\/doi.org\/10.1016\/j.jcta.2021.105495, (with Czes\u0142aw Bagi\u0144ski)<\/i><\/i><\/li>\n
  3. Locally nilpotent skew extensions of rings, J. Pure Appl. Algebra, <\/i>224 (2020), 106360, https:\/\/doi.org\/10.1016\/j.jpaa.2020.106360   arXiv<\/a><\/li>\n
  4. On the semiprimitivity of free skew extensions of rings, J. Pure Appl. Algebra<\/i>,  (2020),   https:\/\/doi.org.\/10.1016\/j.jpaa.2020.106307 (with Jeffrey Bergen) arXiv<\/a><\/li>\n
  5. Jacobson radicals of invariants under Hopf algebra actions, J. Algebra and its Applications, <\/em>17<\/b>(7) <\/b>(2018), 1850132, 10 pp. (with Jeffrey Bergen)<\/li>\n
  6. Locally nilpotent skew derivations with central invariants, J. Algebra, <\/em>483 (2017),<\/em> 71-82. (with Jeffrey Bergen)<\/li>\n
  7. Skew derivations with algebraic invariants of bounded degree,  J. Algebra, <\/em>447 <\/em>(2016),<\/em> 455-467. (with Jeffrey Bergen) DOI<\/a><\/li>\n
  8. Invariants of domains with finite GK dimension, Monatshefte f\u00fcr Mathematik, 179,  (2016),  191-199. (with Jeffrey Bergen) DOI<\/a><\/li>\n
  9. Gelfand-Kirillov dimension of algebras with locally nilpotent derivations, <\/span>Israel J. Math.<\/em> 206 (2015), no. 1, 313-325. (with Jeffrey Bergen) DOI<\/a><\/li>\n
  10. GK dimension and locally nilpotent skew derivations, Glasgow Mathematical Journal, 57(3)  (2015), 555-567.  (with Jeffrey Bergen) DOI<\/a><\/li>\n
  11. On the Jacobson radical of constants of derivations, <\/span> J. Algebra<\/em> 401 (2014), 62-75. DOI<\/a><\/li>\n
  12. On irreducible modules over q-skew polynomial rings and smash products,<\/span> Proc. Amer. Math. Soc.<\/em> 142 (2014), no. 1, 59-69. PDF<\/a>  DOI <\/a><\/li>\n
  13. Skew derivations and the nil and prime radicals,<\/span> Colloquium Mathematicum,<\/em> 128 (2012), no. 2, 229-236. (with Jeffrey Bergen) PDF<\/a><\/li>\n
  14. Goldie dimension of constants of locally nilpotent skew derivations,<\/span> J. Algebra Appl.<\/em> 11 (2012), no. 6, 1250105, 12 pp. (with Jeffrey Bergen) DOI<\/a>   PDF<\/a><\/li>\n
  15. Jacobson radicals of ring extensions, <\/span> J. Pure Appl. Algebra<\/em> 216 (2012), no. 12, 2601-2607. (with Jeffrey Bergen) DOI<\/a>  PDF<\/a><\/li>\n
  16. Skew power series rings of derivation type,<\/span> J. Algebra Appl.<\/em> 10 (2011), no. 6, 1383-1399. (with Jeffrey Bergen) PDF<\/a><\/li>\n
  17. On rings with locally nilpotent skew derivations, <\/span> Comm. Algebra<\/em> 39 (2011), no. 10, 3698-3708. (with Jeffrey Bergen) PDF<\/li>\n
  18. Actions of Lie superalgebras on semiprime algebras with central invariants,  <\/span>Glasgow Mathematical Journal, 52 (2010), no. A, 93-102. (with Ma\u0142gorzata Hryniewicka) PDF<\/a><\/li>\n
  19. Actions of Lie superalgebras on reduced rings, <\/span> Algebr. Represent. Theory<\/em> 11 (2008), no. 3, 251-273. (with Jeffrey Bergen and Ma\u0142gorzata Hryniewicka) PDF<\/a><\/li>\n
  20. Finite block theory and Hopf algebra actions, <\/span> Algebr. Represent. Theory<\/em> 11 (2008), no. 1, 1-23. (with Jeffrey Bergen)<\/li>\n
  21. Actions of pointed Hopf algebras with reduced PI invariants,<\/span> Proc. Amer. Math. Soc.<\/em> 135 (2007), no. 8, 2381-2389. (with Ma\u0142gorzata Hryniewicka)<\/li>\n
  22. Smash products satisfying a polynomial identity, <\/span> Comm. Algebra<\/em> 33 (2005), no. 1, 221-233. (with Jeffrey Bergen)<\/li>\n
  23. Polynomial identities of algebras with actions of pointed Hopf algebras, <\/span> J. Algebra<\/em> 278 (2004), no. 2, 684-703. (with Ma\u0142gorzata Hryniewicka)<\/li>\n
  24. Invariants of semisimple Lie algebras acting on associative algebras,<\/span> Proc. Amer. Math. Soc.<\/em> 131 (2003), no. 3, 709-717.<\/li>\n
  25. The prime radical of constants of algebraic q-skew derivations,<\/span> Comm. Algebra<\/em> 30 (2002), no. 11, 5331-5343. (with Jerzy Matczuk)<\/li>\n
  26. Simple Jordan color algebras arising from associative graded algebras,<\/span> J. Algebra<\/em> 246 (2001), no. 2, 915-950. (with Jeffrey Bergen)<\/li>\n
  27. Artinian property of constants of algebraic q-skew  derivations, <\/span> Israel J. Math.<\/em> 121 (2001), 265-284. (with Andre Leroy and Jerzy Matczuk)<\/li>\n
  28. Skew derivations whose invariants satisfy a polynomial identity,  <\/span>J. Algebra<\/em> 228 (2000), no. 2, 710-737. (with Jeffrey Bergen)<\/li>\n
  29. Invariants of Lie color algebras acting on graded algebras,  <\/span>Colloq. Math.<\/em> 83 (2000), no. 1, 107-124. (with Jeffrey Bergen)<\/li>\n
  30. Skew derivations with central invariants, <\/span> J. London Math. Soc. (2)<\/em> 59 (1999), no. 1, 87-99. (with Jeffrey Bergen)<\/li>\n
  31. Invariants of  Uq<\/sub>(sl2<\/sub>) and q-skew derivations, <\/span>Ring theory (Miskolc, 1996). J. Pure Appl. Algebra<\/em> 133 (1998), no. 1-2, 27-38. (with Jeffrey Bergen)<\/li>\n
  32. On finiteness conditions of modular lattices, <\/span> Comm. Algebra<\/em> 26 (1998), no. 9, 2949-2957. (with Edmund R. Puczylowski)<\/li>\n
  33. Invariants of skew derivations, <\/span> Proc. Amer. Math. Soc.<\/em> 125 (1997), no. 12, 3481-3488. (with Jeffrey Bergen)<\/li>\n
  34. Invariants of Lie superalgebras acting on associative algebras, <\/span> Israel J. Math.<\/em> 94 (1996), 403-428. (with Jeffrey Bergen)<\/li>\n
  35. Gradings, derivations, and automorphisms of nearly associative algebras, <\/span> J. Algebra<\/em> 179 (1996), no. 3, 732-750. (with Jeffrey Bergen)<\/li>\n
  36. A radical of lattices and its applications to rings and modules, <\/span> Contributions to general algebra, 9 (Linz, 1994), <\/em>203-212, H\u00f6lder-Pichler-Tempsky, Vienna,<\/em> 1995. (with Edmund R. Puczylowski)<\/li>\n
  37. On derivations with powers vanishing on one-sided ideals,<\/span> Chinese J. Math.<\/em> 23 (1995), no. 4, 311-317.<\/li>\n
  38. Actions of Lie algebras on rings without nilpotent elements, <\/span>Algebra Colloq.<\/em> 2 (1995), no. 2, 105-116. (with Kostia Beidar)<\/li>\n
  39. On constants of algebraic derivations and fixed points of algebraic automorphisms, <\/span> J. Algebra<\/em> 171 (1995), no. 3, 826-844.<\/li>\n
  40. Engel-type theorems for Lie color algebras, <\/span> Rings, extensions, and cohomology (Evanston, IL, 1993), <\/em>31-33, Lecture Notes in Pure and Appl. Math., 159, Dekker, New York,<\/em> 1994. (with Jeffrey Bergen)<\/li>\n
  41. Goldie conditions for constants of algebraic derivations of semiprime algebras,<\/span> Israel J. Math.<\/em> 83 (1993), no. 3, 329-342. (with Jerzy Matczuk)<\/li>\n
  42. Constants of algebraic derivations,<\/span> Comm. Algebra<\/em> 21 (1993), no. 6, 1857-1868.<\/li>\n
  43. The Goldie dimension of some extensions of modular lattices,<\/span> Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989), <\/em>111-119, Contemp. Math., 131, Part 3, Amer. Math. Soc., Providence, RI,<\/em> 1992.<\/li>\n
  44. On nilpotent derivations of semiprime rings, <\/span> J. Algebra<\/em> 149 (1992), no. 2, 313-321.<\/li>\n
  45. The Gabriel dimension is not autodual, <\/span> Comm. Algebra<\/em> 18 (1990), no. 8, 2587-2594.<\/li>\n
  46. Relations between some dimensions of modular lattices, <\/span> Comm. Algebra<\/em> 17 (1989), no. 7, 1723-1737. (with Jan Okninski and Edmund R. Puczylowski)<\/li>\n
  47. Gabriel and Krull dimensions of modules over rings graded by finite groups, <\/span> Proc. Amer. Math. Soc.<\/em> 105 (1989), no. 1, 17-24. (with Edmund R. Puczylowski)<\/li>\n
  48. Dual Gabriel dimension of modules with derivations,<\/span> Comm. Algebra<\/em> 16 (1988), no. 8, 1689-1699.<\/li>\n
  49. Goldie dimension of differential operator rings,<\/span> Comm. Algebra<\/em> 16 (1988), no. 4, 689-701.<\/li>\n
  50. On derivations of finite index chain conditions, dimensions and radicals, <\/span> Israel J. Math.<\/em> 58 (1987), no. 1, 54-66.<\/li>\n
  51. Goldie dimension and chain conditions for modular lattices with finite group actions,<\/span> Canad. Math. Bull.<\/em> 29 (1986), no. 3, 274-280. (with Edmund R. Puczylowski)<\/li>\n
  52. On G-systems and G-graded rings,<\/span> Proc. Amer. Math. Soc.<\/em> 95 (1985), no. 3, 348-352.<\/li>\n
  53. On infinite Goldie dimension of modular lattices and modules, <\/span> J. Pure Appl. Algebra<\/em> 35 (1985), no. 2, 151-155. (with Edmund R. Puczylowski)<\/li>\n
  54. On Goldie and dual Goldie dimensions,  <\/span>J. Pure Appl. Algebra<\/em> 31 (1984), no. 1-3, 47-54. (with Edmund R. Puczylowski)<\/li>\n<\/ol>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

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